TM Wave in Rectangular Wave Guide | Lecture Note - Edubirdie

University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

300

Pages:

6
Author:

Jabin F.

Heading: #TM Wave in Rectangular Waveguide Diagram: A rectangular waveguide with dimensions a and b. Coordinate axes x, y, and z. Boundary conditions: Bz = 0 or Hz = 0, Ez ≠ 0 Equation: Ez = E0 * sin(mπx/a) * sin(nπy/b) * cos(kz - ωt) Note: Ex, Ey, Bx, By, and Hx can be calculated using Maxwell's equations. Heading: #Cut-off Frequency Equation: (fc)mn = (c/2) * √((m/a)^2 + (n/b)^2) Modes: TM00, TM10, TM01 are not supported. Section 1 Reference: Question 1, Page-79 Given: f = 10^8 Hz Wave velocity (w) = 3x10^8 m/s To find: Wavelength (λ) Direction of propagation Magnetic field (B) Polarization Section 2 Reference: Question 2, Page-79 Given: Electric field (E) = 20 * cos(ωt - 50πy) Vm^-1 To find: Current density (Jq) Magnetic field (B) Magnetic field intensity (H) Wave number (k) Visual Elements and Text Transcription Section 1 Reference: Question 3, Page-79 To find: E0 (electric field amplitude) B0 (magnetic field amplitude) Intensity (I) in vacuum Equations: I = (1/2) * c * ε0 * E0^2 E0 = c * B0 Section 2 Equation: ⃗B(x,t) = (E0/c) * ẑ * e^(i(kx - ωt))

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